## Analytic geometry?

Forum for the GRE subject test in mathematics.
Posts: 34
Joined: Thu Dec 30, 2010 4:36 am

### Analytic geometry?

Dear All
For the line crossing from points P0(x0,y0,z0) and P1(x1,y1,z1) and in the direction of vector P0P1 we know that :
P0P1 (x1-x0,y1-y0,z1-z0)
So the line equation will be :
(x-x0)/(x1-x0)=(y-y0)/(y1-y0)=(z-z0)/(z1-z0)
So how we can obtain the coordinates of the middle point M(x,y,z) on the P0P1 line with equal distance from P0 and P1?
(Can you please let me know how can I write mathematics formula here? For example, writing them in Microsoft Word 2007 and then copy-paste here?)

Posts: 17
Joined: Fri May 27, 2011 7:52 pm

### Re: Analytic geometry?

Are you asking about how you would get the midpoint on the line with endpoints P0 and P1?

If this is what you're asking, use the midpoint formula:
((x1-x0)/2, (y1-y0)/2, (z1-z0)/2))

Posts: 34
Joined: Thu Dec 30, 2010 4:36 am

### Re: Analytic geometry?

Thank you very much for your help. It is exactly what I meant.

Posts: 34
Joined: Thu Dec 30, 2010 4:36 am

### Re: Analytic geometry?

Sorry. What about copy-paste mathematics formula here?

vonLipwig
Posts: 52
Joined: Sat Mar 17, 2012 9:58 am

### Re: Analytic geometry?

Trying to do fancy mathematical formulas is more effort than it's worth - what you wrote was fine, really. If you really really want the equations to look nice, you could use MathBin. http://mathbin.net/